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Galloping Instability to Chaos of Cables

Part of the book series: Nonlinear Physical Science ((NPS))

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Abstract

This book is about analytical galloping dynamics of nonlinear cables under flow loading. To understand galloping dynamics of cables, different mathematical models and techniques have been developed. The perturbation method was employed to determine the inherent dynamical characteristics. In fact, such investigations did not give the adequate results to identify the dynamic characteristics of flow-induced structural vibrations. To solve such a problem, in this book, authors would like to develop analytical solutions of periodic motions and limit cycles for cable galloping caused by fluid-induced structural vibration. Thus, the analytical methods will be briefly reviewed. The perturbation method and generalized harmonic balance techniques are discussed first. The mathematical model of cable galloping is presented and the nonlinear aerodynamic forces are discussed for a better understanding physical mechanism of cable galloping.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL, USA

    Albert C. J. Luo

  2. Department of Mechanical and Industrial Engineering, University of Wisconsin–Platteville, Platteville, WI, USA

    Bo Yu

Authors
  1. Albert C. J. Luo
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  2. Bo Yu
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Correspondence to Albert C. J. Luo .

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Luo, A.C.J., Yu, B. (2017). Introduction. In: Galloping Instability to Chaos of Cables. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-10-5242-2_1

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